NVAMediumJEE Main 2025 · 23 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 23 January, Shift 2

The focus of the parabola y2=4x+16y^2 = 4x + 16 is the center of the circle CC with radius 55. If the values of λ\lambda, for which CC passes through the point of intersection of the lines 3xy=03x - y = 0 and x+λy=4x + \lambda y = 4, are λ1\lambda_1 and λ2\lambda_2, λ1<λ2\lambda_1 < \lambda_2, then 12λ1+29λ212\lambda_1 + 29\lambda_2 is equal to:

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